14387920 has 20 divisors (see below), whose sum is σ = 33452100. Its totient is φ = 5755136.

The previous prime is 14387911. The next prime is 14387939. The reversal of 14387920 is 2978341.

14387920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3655744 + 10732176 = 1912^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89845 + ... + 90004.

It is an arithmetic number, because the mean of its divisors is an integer number (1672605).

Almost surely, 2^14387920 is an apocalyptic number.

14387920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14387920 is an abundant number, since it is smaller than the sum of its proper divisors (19064180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14387920 is a wasteful number, since it uses less digits than its factorization.

14387920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179862 (or 179856 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 14387920 is about 3793.1411784957. The cubic root of 14387920 is about 243.2200302351.

The spelling of 14387920 in words is "fourteen million, three hundred eighty-seven thousand, nine hundred twenty".